Pseudospin and nonlinear conical diffraction in Lieb lattices
Date
2012
Authors
Leykam, Daniel
Bahat-Treidel, Omri
Desyatnikov, Anton S
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Publisher
American Physical Society
Abstract
We study linear and nonlinear wave dynamics in the Lieb lattice, in the vicinity of an intersection point between two conical bands and a flat band. We define a pseudospin operator and derive a nonlinear equation for spin-1 waves, analogous to the spin-1/2 nonlinear Dirac equation. We then study the dynamics of wave packets that are associated with different pseudospin states, and find that they are distinguished by their linear and nonlinear conical diffraction patterns.
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Keywords
Keywords: Conical diffraction; Dirac equations; Flat band; Intersection points; Nonlinear wave dynamics; Pseudo-spin operators; Pseudospin; Linear equations; Optical Kerr effect; Waves; Diffraction
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Physical Review A: Atomic, Molecular and Optical Physics
Type
Journal article
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Open Access
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